Results 1 to 10 of about 823 (107)
Time-Slicing Path-integral in Curved Space [PDF]
Quantum, 2022 Path integrals constitute powerful representations for both quantum and stochastic dynamics. Yet despite many decades of intensive studies, there is no consensus on how to formulate them for dynamics in curved space, or how to make them covariant with ...
Mingnan Ding, Xiangjun Xing
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Journal of High Energy Physics, 2021 Stochastic Inflation is an important framework for understanding the physics of de Sitter space and the phenomenology of inflation. In the leading approximation, this approach results in a Fokker-Planck equation that calculates the probability ...
Timothy Cohen +3 more
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Holographic open quantum systems: toy models and analytic properties of thermal correlators
Journal of High Energy Physics, 2023 We present a unified picture of open quantum systems, the theory of a system probing a noisy thermal environment, distilling lessons learnt from previous holographic analyses.
R. Loganayagam +2 more
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Quantum stochastic integrals as belated integrals [PDF]
Glasgow Mathematical Journal, 1992 Quantum stochastic integrals have been constructed in various contexts [2, 3, 4, 5, 9] by adapting the construction of the classical L2-Itô-integral with respect to Brownian motion. Thus, the integral is first defined for simple integrands as a finite sum, then one establishes certain isometry relations or suitable bounds to allow the extension, by ...
Barnett, Chris +2 more
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Unraveling looping efficiency of stochastic Cosserat polymers
Physical Review Research, 2022 Understanding looping probabilities, including the particular case of ring closure or cyclization, of fluctuating polymers (e.g., DNA) is important in many applications in molecular biology and chemistry.
Giulio Corazza, Raushan Singh
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Stochastic Electrodynamics: Lessons from Regularizing the Harmonic Oscillator
Atoms, 2019 In this paper, the harmonic oscillator problem in Stochastic Electrodynamics is revisited. Using the exact shape of the Lorentz damping term prevents run-away effects.
Theodorus Maria Nieuwenhuizen
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Quantum Stochastic Integrals as Operators [PDF]
International Journal of Theoretical Physics, 2010 We construct quantum stochastic integrals for the integrator being a martingale in a von Neumann algebra, and the integrand -- a suitable process with values in the same algebra, as densely defined operators affiliated with the algebra. In the case of a finite algebra we allow the integrator to be an $L^2$--martingale in which case the integrals are $L^
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Mathematical and Computational Applications, 2017 This computational research study will analyze the multi-physics of lithium ion insertion into a silicon nanowire in an attempt to explain the electrochemical kinetics at the nanoscale and quantum level.
Donald C. Boone
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MALLIAVIN CALCULUS AND SKOROHOD INTEGRATION FOR QUANTUM STOCHASTIC PROCESSES [PDF]
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2001 A derivation operator and a divergence operator are defined on the algebra of bounded operators on the symmetric Fock space over the complexification of a real Hilbert space [Formula: see text] and it is shown that they satisfy similar properties as the derivation and divergence operator on the Wiener space over [Formula: see text].
Franz, Uwe +2 more
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Stochastic Path-Integral Analysis of the Continuously Monitored Quantum Harmonic Oscillator [PDF]
PRX Quantum, 2022 15 pages, 7 ...
Tathagata Karmakar +2 more
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